메뉴 건너뛰기




Volumn 5, Issue 1, 2000, Pages 11-37

Some Opial, Lyapunov, and De la Valée Poussin inequalities with nonhomogeneous boundary conditions

Author keywords

Best constants; De la Val e Poussin inequality; Extremals; Lyapunov inequality; Nonhomogeneous boundary conditions; Opial inequality

Indexed keywords


EID: 0002939803     PISSN: 10255834     EISSN: 1029242X     Source Type: Journal    
DOI: 10.1155/S1025583400000023     Document Type: Article
Times cited : (6)

References (13)
  • 2
    • 0003377931 scopus 로고
    • On a Liapounoff criterion of stability
    • G. Borg, On a Liapounoff criterion of stability, Amer. J. Math. 71(1949), 67-70.
    • (1949) Amer. J. Math. , vol.71 , pp. 67-70
    • Borg, G.1
  • 3
    • 0010564661 scopus 로고    scopus 로고
    • Applications of a one-dimensional Sobolev inequality to eigenvalue problems
    • R. C. Brown, D. B. Hinton and Š. Schwabik, Applications of a one-dimensional Sobolev inequality to eigenvalue problems, J. Diff. Int. Equations 9(1996), 481-98.
    • (1996) J. Diff. Int. Equations , vol.9 , pp. 481-498
    • Brown, R.C.1    Hinton, D.B.2    Schwabik, Š.3
  • 4
    • 21744451135 scopus 로고    scopus 로고
    • Opial's inequality and oscillation of 2nd order equations
    • R. C. Brown and D. B. Hinton, Opial's inequality and oscillation of 2nd order equations, Proc. Amer. Math. Soc. 125(1997), 1123-1129.
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 1123-1129
    • Brown, R.C.1    Hinton, D.B.2
  • 6
    • 0002571041 scopus 로고
    • Lyapunov inequalities for differential and difference equations
    • S. Cheng, Lyapunov inequalities for differential and difference equations, Easc. Math. 304(1991), 25-41.
    • (1991) Easc. Math. , vol.304 , pp. 25-41
    • Cheng, S.1
  • 8
    • 0001525304 scopus 로고
    • Problème général de la stabilité du mouvement
    • A. M. Lyapunov, Problème général de la stabilité du mouvement, Ann. de la Faculté de Toulouse (2) 9(1907), 406.
    • (1907) Ann. de la Faculté de Toulouse , vol.9 , Issue.2 , pp. 406
    • Lyapunov, A.M.1
  • 10
    • 0042081493 scopus 로고
    • A simple proof of a certain result of Z. Opial
    • C. Olech, A simple proof of a certain result of Z. Opial, Ann. Polon. Math. 8(1960), 61-63.
    • (1960) Ann. Polon. Math. , vol.8 , pp. 61-63
    • Olech, C.1
  • 11
    • 33646992203 scopus 로고
    • Sur une inégalité de C. de la Vallée Poussin
    • Z. Opial, Sur une inégalité de C. de la Vallée Poussin, Ann. Polon. Math. 6(1959), 87-91.
    • (1959) Ann. Polon. Math. , vol.6 , pp. 87-91
    • Opial, Z.1
  • 12
    • 0001828671 scopus 로고
    • Sur une inégalité
    • Z. Opial, Sur une inégalité, Ann. Polon. Math. 8(1960), 29-32.
    • (1960) Ann. Polon. Math. , vol.8 , pp. 29-32
    • Opial, Z.1
  • 13
    • 2942629426 scopus 로고
    • A generalized Liapunov inequality
    • W. T. Reid, A generalized Liapunov inequality, J. Differential Equations 13(1973), 182-196.
    • (1973) J. Differential Equations , vol.13 , pp. 182-196
    • Reid, W.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.